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10120001331 = 3111927915783
BaseRepresentation
bin10010110110011001…
…01111011100110011
3222010021120100000010
421123030233130303
5131211210020311
64352110430003
7505532410026
oct113314573463
928107510003
1010120001331
114323527870
121b65202303
13c53814b8b
146c007d1bd
153e36b3da6
hex25b32f733

10120001331 has 32 divisors (see below), whose sum is σ = 15502970880. Its totient is φ = 5807440800.

The previous prime is 10120001323. The next prime is 10120001371. The reversal of 10120001331 is 13310002101.

It is not a de Polignac number, because 10120001331 - 23 = 10120001323 is a prime.

It is a super-2 number, since 2×101200013312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120001371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1747066 + ... + 1752848.

It is an arithmetic number, because the mean of its divisors is an integer number (484467840).

Almost surely, 210120001331 is an apocalyptic number.

10120001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120001331 is a deficient number, since it is larger than the sum of its proper divisors (5382969549).

10120001331 is a wasteful number, since it uses less digits than its factorization.

10120001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8607.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10120001331 its reverse (13310002101), we get a palindrome (23430003432).

The spelling of 10120001331 in words is "ten billion, one hundred twenty million, one thousand, three hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 627 2791 5783 8373 17349 30701 53029 63613 92103 109877 159087 190839 329631 583319 1208647 1749957 3625941 16140353 48421059 177543883 306666707 532631649 920000121 3373333777 10120001331